Your 2015 is capable of running Catalina, Catalina only runs on the APFS file system.
You say you are running Mojave, Mojave should be running on APFS, but it looks like the conversion never happened.
Try this and see if you get any further.
Restart your mac while pressing and holding the Command and R keys.
This will boot your mac to the Recovery HD.
When it boots up to the Recovery HD you will see a Utilities panel
click on Disk Utility and press Continue.
Click on View in the menubar and select Show All Devices.
In the left hand panel highlight the Disk, now go to Edit and see if Convert to APFS is 'live'.
If not then highlight the indented Volume and to Edit and see if Convert to APFS is possible.
Try downloading Catalina, it downloads as Install macOS Catalina.app to your Applications folder.
Using the Install macOS Catalina.app in the Applications folder you can then make a bootable USB installer
How to create a bootable installer for macOS – Apple Support
Having created a bootable USB than you can boot to that and use Disk Utility there to see if you can
Convert to APFS.